Pith Number

pith:KWBKGHUP

pith:2026:KWBKGHUP7NTUDFDXTECLTEWEUX

not attested not anchored not stored refs pending

The burgeoning rise of the 21-cm forest I: constraints on the optical depth of the intergalactic medium at $5.38 < z < 5.84$

Andrei Mesinger, Benedetta Ciardi, Chanasorn Kongprachaya, Emilio Ceccotti, Gianni Bernardi, Oleg M. Smirnov

arxiv:2607.20371 v1 · 2026-07-22 · astro-ph.CO · astro-ph.GA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KWBKGHUP7NTUDFDXTECLTEWEUX}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-23T01:25:17.393624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5582a31e8ffb674194779904b992c4a5eee77f36c3391b1aef344b74cd0cd614

Aliases

arxiv: 2607.20371 · arxiv_version: 2607.20371v1 · doi: 10.48550/arxiv.2607.20371 · pith_short_12: KWBKGHUP7NTU · pith_short_16: KWBKGHUP7NTUDFDX · pith_short_8: KWBKGHUP

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/KWBKGHUP7NTUDFDXTECLTEWEUX \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 5582a31e8ffb674194779904b992c4a5eee77f36c3391b1aef344b74cd0cd614

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36980e4379ebda82905dd332b481444701421005a4e2f3d52fa4dbd94aa8fe23",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-07-22T17:01:59Z",
    "title_canon_sha256": "3b807e1610f020281fc01765dafdc793457d90ffc52284e9d70866cb47501eaf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.20371",
    "kind": "arxiv",
    "version": 1
  }
}