Pith Number

pith:H3CAHY4W

pith:2015:H3CAHY4WXRBX4CLANLIWTSTJVG

not attested not anchored not stored refs pending

Analytic Deformations of Minimal Networks

Alexander Ivanov, Alexey Tuzhilin

arxiv:1506.07140 v1 · 2015-06-23 · math.DG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H3CAHY4WXRBX4CLANLIWTSTJVG}

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	2026-05-18T01:40:06.089981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ec403e396bc437e09606ad169ca69a98f41f4eef5a2c5d88ed59b061005dd77

Aliases

arxiv: 1506.07140 · arxiv_version: 1506.07140v1 · doi: 10.48550/arxiv.1506.07140 · pith_short_12: H3CAHY4WXRBX · pith_short_16: H3CAHY4WXRBX4CLA · pith_short_8: H3CAHY4W

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/H3CAHY4WXRBX4CLANLIWTSTJVG \
  | 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: 3ec403e396bc437e09606ad169ca69a98f41f4eef5a2c5d88ed59b061005dd77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d2899622ac50dc23c7c20b37c6b10bc37b9b0e8d25caaf59daa0483a8dfd051",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-06-23T18:56:14Z",
    "title_canon_sha256": "09922fd4adc64375a511021b1d9b66d9e480fa69036b144666fa69814eb6dff3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07140",
    "kind": "arxiv",
    "version": 1
  }
}