pith. sign in
Pith Number

pith:JMKIHKPX

pith:2009:JMKIHKPXJMXT3HT6EE6K5FPHQ4
not attested not anchored not stored refs pending

The map equation

C. T. Bergstrom, D. Axelsson, M. Rosvall

arxiv:0906.1405 v2 · 2009-06-08 · physics.soc-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{JMKIHKPXJMXT3HT6EE6K5FPHQ4}

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 2026-05-18T02:13:28.295379Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4b1483a9f74b2f3d9e7e213cae95e7871dab4fb78e8683b531a91d04a6bd1942

Aliases

arxiv: 0906.1405 · arxiv_version: 0906.1405v2 · doi: 10.48550/arxiv.0906.1405 · pith_short_12: JMKIHKPXJMXT · pith_short_16: JMKIHKPXJMXT3HT6 · pith_short_8: JMKIHKPX
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/JMKIHKPXJMXT3HT6EE6K5FPHQ4 \
  | 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: 4b1483a9f74b2f3d9e7e213cae95e7871dab4fb78e8683b531a91d04a6bd1942
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "fb65188961eaf66aba078836a3c7666d555410784b5265dbeddcebb164c92d67",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2009-06-08T03:45:30Z",
    "title_canon_sha256": "fabee05f2b59a3286d74255965ea9dc003e96bc7e9780c10889e698fc4131f08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.1405",
    "kind": "arxiv",
    "version": 2
  }
}