Pith Number

pith:IGJWSUH4

pith:2026:IGJWSUH4QOICXPYKF3ATYLOGLE

not attested not anchored not stored refs pending

No way ou$\tau$: Epoch of Reionization Observations Do not Support Large Values of the Optical Depth to Reionization

Paulo Montero-Camacho, Yi Mao

arxiv:2607.26373 v1 · 2026-07-29 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IGJWSUH4QOICXPYKF3ATYLOGLE}

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	2026-07-30T01:18:14.024278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

41936950fc83902bbf0a2ec13c2dc6593a93789335a8ef2deaf0eb22312955ea

Aliases

arxiv: 2607.26373 · arxiv_version: 2607.26373v1 · doi: 10.48550/arxiv.2607.26373 · pith_short_12: IGJWSUH4QOIC · pith_short_16: IGJWSUH4QOICXPYK · pith_short_8: IGJWSUH4

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/IGJWSUH4QOICXPYKF3ATYLOGLE \
  | 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: 41936950fc83902bbf0a2ec13c2dc6593a93789335a8ef2deaf0eb22312955ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c48c243370b48cc04dc2736262f777a3ffaffb07d00db22f050dfd6f598b845e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-07-29T01:20:58Z",
    "title_canon_sha256": "d50c6c7399f46dbbdce2daedba73198e75f585607b1efa085c6074be50b559b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.26373",
    "kind": "arxiv",
    "version": 1
  }
}