Pith Number

pith:YPCN5JP7

pith:2017:YPCN5JP7MCLK3XS3HBQFKFTZZV

not attested not anchored not stored refs pending

Generalized Euler classes, differential forms and commutative DGAs

Alexander Gorokhovsky, Dennis Sullivan, Zhizhang Xie

arxiv:1704.04308 v2 · 2017-04-14 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YPCN5JP7MCLK3XS3HBQFKFTZZV}

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	2026-05-18T00:41:47.647331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3c4dea5ff6096adde5b3860551679cd7dd0f596fa8f637a8f2da871c65f7e95

Aliases

arxiv: 1704.04308 · arxiv_version: 1704.04308v2 · doi: 10.48550/arxiv.1704.04308 · pith_short_12: YPCN5JP7MCLK · pith_short_16: YPCN5JP7MCLK3XS3 · pith_short_8: YPCN5JP7

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/YPCN5JP7MCLK3XS3HBQFKFTZZV \
  | 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: c3c4dea5ff6096adde5b3860551679cd7dd0f596fa8f637a8f2da871c65f7e95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87f0b866dd340ad6ae8310e0978c8242a00816a6cd463b9d0fa604268ad6f120",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2017-04-14T00:26:22Z",
    "title_canon_sha256": "cff796ccfe4254f02eecd600bd5d972027d83088f5f8b3dac123de5e2049b463"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.04308",
    "kind": "arxiv",
    "version": 2
  }
}