Pith Number

pith:EXOXMHW7

pith:2007:EXOXMHW7BLGHHA5IEFLQDJYAJM

not attested not anchored not stored refs pending

Packets in Grothendieck's Section Conjecture

H\'el\`ene Esnault, Ph\`ung H\^o Hai

arxiv:math/0703877 v2 · 2007-03-29 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EXOXMHW7BLGHHA5IEFLQDJYAJM}

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	2026-05-17T23:45:55.694714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25dd761edf0acc7383a8215701a7004b3235c50921555cc92a0712cd2b0c5196

Aliases

arxiv: math/0703877 · arxiv_version: math/0703877v2 · doi: 10.48550/arxiv.math/0703877 · pith_short_12: EXOXMHW7BLGH · pith_short_16: EXOXMHW7BLGHHA5I · pith_short_8: EXOXMHW7

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/EXOXMHW7BLGHHA5IEFLQDJYAJM \
  | 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: 25dd761edf0acc7383a8215701a7004b3235c50921555cc92a0712cd2b0c5196

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29a453fced5c6558e8c231c0515027e56e633ef39377c3d05da285a3aad35dff",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2007-03-29T11:58:12Z",
    "title_canon_sha256": "41cc9182680eb1aff948fdc8788eb456437cddd87da5b65d1b25d54041799c6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0703877",
    "kind": "arxiv",
    "version": 2
  }
}