Pith Number

pith:YIHYLKM6

pith:2015:YIHYLKM6Q7XVO47V72SWCNJG7T

not attested not anchored not stored refs pending

Stable Forms, Vector Cross Products and Their Applications in Geometry

Teng Fei

arxiv:1504.02807 v2 · 2015-04-10 · math.DG · hep-th · math-ph · math.CV · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YIHYLKM6Q7XVO47V72SWCNJG7T}

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	2026-05-18T01:37:27.154220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c20f85a99e87ef5773f5fea5613526fcde966f644d8827f87efcf67c004a20c8

Aliases

arxiv: 1504.02807 · arxiv_version: 1504.02807v2 · doi: 10.48550/arxiv.1504.02807 · pith_short_12: YIHYLKM6Q7XV · pith_short_16: YIHYLKM6Q7XVO47V · pith_short_8: YIHYLKM6

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/YIHYLKM6Q7XVO47V72SWCNJG7T \
  | 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: c20f85a99e87ef5773f5fea5613526fcde966f644d8827f87efcf67c004a20c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9dab44d4d1f3bd457f929aff8430738fa0eab853eb6351f3117a77b33382ec91",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.CV",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-04-10T22:27:02Z",
    "title_canon_sha256": "1ff6a326c54715cfc15a3e947d150207303ad38daa6c6c9cca2fb397bbfa8977"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.02807",
    "kind": "arxiv",
    "version": 2
  }
}