Pith Number

pith:HTULD4Y5

pith:2004:HTULD4Y5CRCUKWCJNCHKRP7IHE

not attested not anchored not stored refs pending

Galois actions on the pro-l-unipotent fundamental group

J. P. Pridham

arxiv:math/0404314 v4 · 2004-04-18 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HTULD4Y5CRCUKWCJNCHKRP7IHE}

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	2026-05-18T04:08:42.959884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ce8b1f31d1445455849688ea8bfe83937d52385c010b3bab6d9ca342fa78db9

Aliases

arxiv: math/0404314 · arxiv_version: math/0404314v4 · doi: 10.48550/arxiv.math/0404314 · pith_short_12: HTULD4Y5CRCU · pith_short_16: HTULD4Y5CRCUKWCJ · pith_short_8: HTULD4Y5

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/HTULD4Y5CRCUKWCJNCHKRP7IHE \
  | 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: 3ce8b1f31d1445455849688ea8bfe83937d52385c010b3bab6d9ca342fa78db9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cab57b74159ba2d616394f15546005ba4464297e83797e261716fd88e78dea9",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2004-04-18T13:04:52Z",
    "title_canon_sha256": "f423c713e19775ac7d13a3dbcdeb5c2356ae58dedb7c3459e1e03a245e01f9b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0404314",
    "kind": "arxiv",
    "version": 4
  }
}