Pith Number

pith:T7MCGUPB

pith:2012:T7MCGUPBXMWNQG4MZ7XCBNYITY

not attested not anchored not stored refs pending

Volume preserving centro-affine normal flows

Alina Stancu, Mohammad N. Ivaki

arxiv:1211.7105 v3 · 2012-11-29 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T7MCGUPBXMWNQG4MZ7XCBNYITY}

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	2026-05-18T01:24:38.831074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fd82351e1bb2cd81b8ccfee20b7089e282d55ebfcf9aff3433cd621b26921e5

Aliases

arxiv: 1211.7105 · arxiv_version: 1211.7105v3 · doi: 10.48550/arxiv.1211.7105 · pith_short_12: T7MCGUPBXMWN · pith_short_16: T7MCGUPBXMWNQG4M · pith_short_8: T7MCGUPB

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/T7MCGUPBXMWNQG4MZ7XCBNYITY \
  | 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: 9fd82351e1bb2cd81b8ccfee20b7089e282d55ebfcf9aff3433cd621b26921e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b45daa503a9c330745cfc87d773106fd76ed89595c0b5850f52e38c041cb1ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-11-29T22:11:46Z",
    "title_canon_sha256": "5b0c742fe48842794f9811951b5106edb5a73b857c62cf42af9a6c638e4dce19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.7105",
    "kind": "arxiv",
    "version": 3
  }
}