Pith Number

pith:OVXP4GM5

pith:2012:OVXP4GM5VMXK33AQLYW5BIWHZD

not attested not anchored not stored refs pending

On the relation of special linear algebraic cobordism to Witt groups

Alexey Ananyevskiy

arxiv:1212.5780 v3 · 2012-12-23 · math.AG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OVXP4GM5VMXK33AQLYW5BIWHZD}

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	2026-05-18T01:29:29.961545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

756efe199dab2eadec105e2dd0a2c7c8eb3324606015e1d2e67a2a632728d7d0

Aliases

arxiv: 1212.5780 · arxiv_version: 1212.5780v3 · doi: 10.48550/arxiv.1212.5780 · pith_short_12: OVXP4GM5VMXK · pith_short_16: OVXP4GM5VMXK33AQ · pith_short_8: OVXP4GM5

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/OVXP4GM5VMXK33AQLYW5BIWHZD \
  | 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: 756efe199dab2eadec105e2dd0a2c7c8eb3324606015e1d2e67a2a632728d7d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b66b512f363c6d7972093192a016fb6033d8bb1c0b6ff616fa66b5917491b041",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-12-23T10:09:12Z",
    "title_canon_sha256": "702c2405080e0a2c6160a915bec93ec84f01a7a2b4ca7cf6b0db1035762ec241"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5780",
    "kind": "arxiv",
    "version": 3
  }
}