Pith Number

pith:5BPRMMH6

pith:2014:5BPRMMH6C4GUT4UM6MUFLRCOWD

not attested not anchored not stored refs pending

Flow-Cut Dualities for Sheaves on Graphs

Sanjeevi Krishnan

arxiv:1409.6712 v1 · 2014-09-23 · 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{5BPRMMH6C4GUT4UM6MUFLRCOWD}

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	2026-05-18T02:42:06.482367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e85f1630fe170d49f28cf32855c44eb0dffc0251031608b534384f958fe23ab0

Aliases

arxiv: 1409.6712 · arxiv_version: 1409.6712v1 · doi: 10.48550/arxiv.1409.6712 · pith_short_12: 5BPRMMH6C4GU · pith_short_16: 5BPRMMH6C4GUT4UM · pith_short_8: 5BPRMMH6

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/5BPRMMH6C4GUT4UM6MUFLRCOWD \
  | 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: e85f1630fe170d49f28cf32855c44eb0dffc0251031608b534384f958fe23ab0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e66f09ab89a51effdf61d77e22c479ecd5dfea51a5882f9d4d57e15a112fd504",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2014-09-23T19:47:27Z",
    "title_canon_sha256": "74ed868497caf691538a630c09bb6c98ce37b83456cb1e93d8258f68676a530a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.6712",
    "kind": "arxiv",
    "version": 1
  }
}