Pith Number

pith:7BKTCTCK

pith:2020:7BKTCTCKA56YN2QXEPDR4TQ22W

not attested not anchored not stored refs pending

A Simple Differential Geometry for Complex Networks

Areejit Samal, Emil Saucan, J\"urgen Jost

arxiv:2004.11112 v2 · 2020-04-23 · 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{7BKTCTCKA56YN2QXEPDR4TQ22W}

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	2026-07-05T01:34:08.183750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f855314c4a077d86ea1723c71e4e1ad5a38d724f40152744b76457b251a2046a

Aliases

arxiv: 2004.11112 · arxiv_version: 2004.11112v2 · doi: 10.48550/arxiv.2004.11112 · pith_short_12: 7BKTCTCKA56Y · pith_short_16: 7BKTCTCKA56YN2QX · pith_short_8: 7BKTCTCK

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/7BKTCTCKA56YN2QXEPDR4TQ22W \
  | 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: f855314c4a077d86ea1723c71e4e1ad5a38d724f40152744b76457b251a2046a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1724837ac8abdf4b72d836a46d71e998c769073d2a44ffc70a024ce802bb1e11",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2020-04-23T12:47:12Z",
    "title_canon_sha256": "8075df01d0c50b7c70ea2fadbbe1f93e777a453113eafda3042579f88a92cd14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.11112",
    "kind": "arxiv",
    "version": 2
  }
}