Pith Number

pith:IV2RD2UB

pith:2011:IV2RD2UBOIUDMP62JULRVWDGXV

not attested not anchored not stored refs pending

Simplicial approach to derived differential manifolds

Dennis Borisov, Justin Noel

arxiv:1112.0033 v1 · 2011-11-30 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IV2RD2UBOIUDMP62JULRVWDGXV}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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.

Cited by

1 paper in Pith

Derived Symplectic Reduction in Differential Geometry

Receipt and verification

First computed	2026-05-18T04:07:17.134682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

457511ea817228363fda4d171ad866bd533e42a9bd27b739b839af1551a34058

Aliases

arxiv: 1112.0033 · arxiv_version: 1112.0033v1 · doi: 10.48550/arxiv.1112.0033 · pith_short_12: IV2RD2UBOIUD · pith_short_16: IV2RD2UBOIUDMP62 · pith_short_8: IV2RD2UB

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/IV2RD2UBOIUDMP62JULRVWDGXV \
  | 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: 457511ea817228363fda4d171ad866bd533e42a9bd27b739b839af1551a34058

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93c43e7e0d3495978aef2e1ec7ef74dcf52138c12bffbca47e31cbaf378beed5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-11-30T21:20:03Z",
    "title_canon_sha256": "e1020c32c93623ab442222761189032ea493035fa71cd63032016d156c248b09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0033",
    "kind": "arxiv",
    "version": 1
  }
}