Pith Number

pith:4FRV6FTY

pith:2014:4FRV6FTYGS7RNK2VU47UQDZ37K

not attested not anchored not stored refs pending

Homotopy theory for digraphs

Alexander Grigor'yan, Shing-Tung Yau, Yong Lin, Yuri Muranov

arxiv:1407.0234 v1 · 2014-07-01 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4FRV6FTYGS7RNK2VU47UQDZ37K}

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.

Cited by

1 paper in Pith

Topology Structure Optimization of Reservoirs Using GLMY Homology

Receipt and verification

First computed	2026-05-18T02:48:34.716064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1635f167834bf16ab55a73f480f3bfa9293666e5ae0d7a80f83d2940e28706e

Aliases

arxiv: 1407.0234 · arxiv_version: 1407.0234v1 · doi: 10.48550/arxiv.1407.0234 · pith_short_12: 4FRV6FTYGS7R · pith_short_16: 4FRV6FTYGS7RNK2V · pith_short_8: 4FRV6FTY

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/4FRV6FTYGS7RNK2VU47UQDZ37K \
  | 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: e1635f167834bf16ab55a73f480f3bfa9293666e5ae0d7a80f83d2940e28706e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "876b7b7f8cedd37d73ac1914ba95c07cf9730d2c3dec08d9ef9eb0837a8cdf54",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2014-07-01T13:30:36Z",
    "title_canon_sha256": "357c68db36dceac395ac24472a2d4af6e086fb8aceb7c2f776a943a72626cd79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.0234",
    "kind": "arxiv",
    "version": 1
  }
}