Pith Number

pith:MR5IGNXF

pith:2015:MR5IGNXFXJTYVVY2QLBOH2D5T6

not attested not anchored not stored refs pending

Evolve nondegenerate two forms

Weiyong He

arxiv:1510.08798 v1 · 2015-10-29 · math.DG · math.AP · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MR5IGNXFXJTYVVY2QLBOH2D5T6}

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	2026-05-18T01:28:26.700023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

647a8336e5ba678ad71a82c2e3e87d9fbdc14a91d8c1b38da0b7efa97eb80f4a

Aliases

arxiv: 1510.08798 · arxiv_version: 1510.08798v1 · doi: 10.48550/arxiv.1510.08798 · pith_short_12: MR5IGNXFXJTY · pith_short_16: MR5IGNXFXJTYVVY2 · pith_short_8: MR5IGNXF

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/MR5IGNXFXJTYVVY2QLBOH2D5T6 \
  | 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: 647a8336e5ba678ad71a82c2e3e87d9fbdc14a91d8c1b38da0b7efa97eb80f4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b51d6db1d1de4099632f3aa9f33ebe0b6a21b172f23dd1640edb2b2c373b1982",
    "cross_cats_sorted": [
      "math.AP",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-10-29T17:47:10Z",
    "title_canon_sha256": "52cfcbbb126cde846a287193ff6074fb536fbb62b19bb81e3c0fd1008e6098ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08798",
    "kind": "arxiv",
    "version": 1
  }
}