pith. sign in
Pith Number

pith:MDBBJ6T6

pith:2014:MDBBJ6T66MO4UGVNNFMAU576ES
not attested not anchored not stored refs pending

Almost all friendly matrices have many obstructions

Richard Montgomery

arxiv:1403.3548 v2 · 2014-03-14 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{MDBBJ6T66MO4UGVNNFMAU576ES}

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 2026-05-18T02:31:21.301473Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

60c214fa7ef31dca1aad69580a77fe24aa4c8fbfb6f91aed0907d7c59fd5650e

Aliases

arxiv: 1403.3548 · arxiv_version: 1403.3548v2 · doi: 10.48550/arxiv.1403.3548 · pith_short_12: MDBBJ6T66MO4 · pith_short_16: MDBBJ6T66MO4UGVN · pith_short_8: MDBBJ6T6
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/MDBBJ6T66MO4UGVNNFMAU576ES \
  | 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: 60c214fa7ef31dca1aad69580a77fe24aa4c8fbfb6f91aed0907d7c59fd5650e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "76dccfed966615ab8ea0900bd1a217ce3fa1a0c37576a86d2d4823794baea12e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-03-14T12:12:38Z",
    "title_canon_sha256": "75b72a6599b61d66f36f548234153c5207931e713b4e01824b8a3a2bae040deb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.3548",
    "kind": "arxiv",
    "version": 2
  }
}