Pith Number

pith:GVS3LWZF

pith:2014:GVS3LWZF2VHQDKEXVSRYWEWFME

not attested not anchored not stored refs pending

Homogenization on manifolds

Gonzalo Contreras

arxiv:1412.8126 v1 · 2014-12-28 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GVS3LWZF2VHQDKEXVSRYWEWFME}

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	2026-05-18T02:30:24.042495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3565b5db25d54f01a897aca38b12c56119e7371ca6fb84dbd41ac7fe45b394e7

Aliases

arxiv: 1412.8126 · arxiv_version: 1412.8126v1 · doi: 10.48550/arxiv.1412.8126 · pith_short_12: GVS3LWZF2VHQ · pith_short_16: GVS3LWZF2VHQDKEX · pith_short_8: GVS3LWZF

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/GVS3LWZF2VHQDKEXVSRYWEWFME \
  | 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: 3565b5db25d54f01a897aca38b12c56119e7371ca6fb84dbd41ac7fe45b394e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5409c8a4089fbea2601cca96adbcc03bdf255df91e504f23b37f40b2d666060f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-12-28T08:11:19Z",
    "title_canon_sha256": "ec5bd0211f0101413a83f6d561d44a0d797d885615147d95807a22d56382f2d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.8126",
    "kind": "arxiv",
    "version": 1
  }
}