Pith Number

pith:DI6UZK4D

pith:2007:DI6UZK4DOHJH3TWAIQ6TNDF3KD

not attested not anchored not stored refs pending

Galois actions on homotopy groups

J. P. Pridham

arxiv:0712.0928 v4 · 2007-12-06 · math.AG · math.AT · 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{DI6UZK4DOHJH3TWAIQ6TNDF3KD}

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	2026-05-18T02:38:19.293749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a3d4cab8371d27dcec0443d368cbb50cb14e02289be66bfc5d7fc7384e56ba5

Aliases

arxiv: 0712.0928 · arxiv_version: 0712.0928v4 · doi: 10.48550/arxiv.0712.0928 · pith_short_12: DI6UZK4DOHJH · pith_short_16: DI6UZK4DOHJH3TWA · pith_short_8: DI6UZK4D

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/DI6UZK4DOHJH3TWAIQ6TNDF3KD \
  | 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: 1a3d4cab8371d27dcec0443d368cbb50cb14e02289be66bfc5d7fc7384e56ba5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2d2ff55a084d5ce65b4806c1a3f456e084a866b2977b2f3c21a93c1df0c556c",
    "cross_cats_sorted": [
      "math.AT",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2007-12-06T12:55:24Z",
    "title_canon_sha256": "2baee8697e8ec4372c83a069aee9c8079819dc73b349d40f76a4f1d1c9b49e36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.0928",
    "kind": "arxiv",
    "version": 4
  }
}