Pith Number

pith:ODWLC2GI

pith:2007:ODWLC2GIGLP26HDADJU7TRTYLY

not attested not anchored not stored refs pending

Deformation theory of objects in homotopy and derived categories II: pro-representability of the deformation functor

Alexander I. Efimov, Dmitri O. Orlov, Valery A. Lunts

arxiv:math/0702839 v3 · 2007-02-27 · math.AG · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ODWLC2GIGLP26HDADJU7TRTYLY}

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	2026-05-18T00:08:24.505337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70ecb168c832dfaf1c601a69f9c6785e12aa614116a68ed5754b5e6362105cc4

Aliases

arxiv: math/0702839 · arxiv_version: math/0702839v3 · doi: 10.48550/arxiv.math/0702839 · pith_short_12: ODWLC2GIGLP2 · pith_short_16: ODWLC2GIGLP26HDA · pith_short_8: ODWLC2GI

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/ODWLC2GIGLP26HDADJU7TRTYLY \
  | 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: 70ecb168c832dfaf1c601a69f9c6785e12aa614116a68ed5754b5e6362105cc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4917b4cbc96f6135f68f56d4ec53c3fa3bf931f5dab3e0f2676f09d9e86b03c",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2007-02-27T15:27:09Z",
    "title_canon_sha256": "fc4c2be3a2d82ea3680e5e14a9ee7733cb4b5eabff6ef2fb110a909577fe67a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0702839",
    "kind": "arxiv",
    "version": 3
  }
}