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Pith Number

pith:MFAEGC25

pith:2015:MFAEGC25I57ANGHXDE5OGIACLX
not attested not anchored not stored refs pending

Fourientation activities and the Tutte polynomial

Lorenzo Traldi, Sam Hopkins, Spencer Backman

arxiv:1512.01821 v2 · 2015-12-06 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{MFAEGC25I57ANGHXDE5OGIACLX}

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 2026-05-18T00:38:13.997610Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6140430b5d477e0698f7193ae320025dd752f446062740399ef3ae4b188c5996

Aliases

arxiv: 1512.01821 · arxiv_version: 1512.01821v2 · doi: 10.48550/arxiv.1512.01821 · pith_short_12: MFAEGC25I57A · pith_short_16: MFAEGC25I57ANGHX · pith_short_8: MFAEGC25
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/MFAEGC25I57ANGHXDE5OGIACLX \
  | 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: 6140430b5d477e0698f7193ae320025dd752f446062740399ef3ae4b188c5996
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "5916bc32c23ac94b747a3d65e31aeac92214ef0c40cd9cb2eab9f64cc0ad907d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-06T19:10:23Z",
    "title_canon_sha256": "d692821672a57692feb644cc48ef92b385da250f2013e506791541668c068d7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01821",
    "kind": "arxiv",
    "version": 2
  }
}