Pith Number

pith:VWAOXVKO

pith:2015:VWAOXVKOGCODNFKFHVIYL6FEYX

not attested not anchored not stored refs pending

On the affine Gauss maps of submanifolds of Euclidean space

Henri Anciaux, Pierre Bayard

arxiv:1507.03784 v1 · 2015-07-14 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VWAOXVKOGCODNFKFHVIYL6FEYX}

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	2026-05-18T01:36:57.347142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad80ebd54e309c3695453d5185f8a4c5ee67029c5486aeacc0dcf9ed289e7dd8

Aliases

arxiv: 1507.03784 · arxiv_version: 1507.03784v1 · doi: 10.48550/arxiv.1507.03784 · pith_short_12: VWAOXVKOGCOD · pith_short_16: VWAOXVKOGCODNFKF · pith_short_8: VWAOXVKO

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/VWAOXVKOGCODNFKFHVIYL6FEYX \
  | 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: ad80ebd54e309c3695453d5185f8a4c5ee67029c5486aeacc0dcf9ed289e7dd8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4b3a675f296d95e5fdb95855a431822d23e82b0e56eb25dda059d5cebb912a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-07-14T09:39:15Z",
    "title_canon_sha256": "93f349604549d562935dcf334123153399e57612b97b341addf708e3bb7c2c7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03784",
    "kind": "arxiv",
    "version": 1
  }
}