Pith Number

pith:2TGIXYRF

pith:2011:2TGIXYRFFUYQCLB6TVQPPV2TLZ

not attested not anchored not stored refs pending

The PAH hypothesis after 25 years

Els Peeters

arxiv:1111.3680 v1 · 2011-11-15 · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2TGIXYRFFUYQCLB6TVQPPV2TLZ}

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

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	2026-05-18T01:59:32.668697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4cc8be2252d31012c3e9d60f7d7535e75f15d0bd032da57f837ad9ddb209ee2

Aliases

arxiv: 1111.3680 · arxiv_version: 1111.3680v1 · doi: 10.48550/arxiv.1111.3680 · pith_short_12: 2TGIXYRFFUYQ · pith_short_16: 2TGIXYRFFUYQCLB6 · pith_short_8: 2TGIXYRF

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/2TGIXYRFFUYQCLB6TVQPPV2TLZ \
  | 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: d4cc8be2252d31012c3e9d60f7d7535e75f15d0bd032da57f837ad9ddb209ee2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69a256f6b80b19ea9f1602687924db996bdc24ca6a03fcea498dc0fa2efb08ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2011-11-15T22:29:35Z",
    "title_canon_sha256": "b94f5801aafc3b26ebd67c1a2da3266c263200b77077052240f43737f0101be0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3680",
    "kind": "arxiv",
    "version": 1
  }
}