Pith Number

pith:M7IV6OUC

pith:2012:M7IV6OUCWPGGHBT3PCHHJBFOH2

not attested not anchored not stored refs pending

Borromean rays and hyperplanes

Jack S. Calcut, Jules R. Metcalf-Burton, Liam T. Solus, Taylor J. Richard

arxiv:1211.6465 v1 · 2012-11-27 · math.GT · 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{M7IV6OUCWPGGHBT3PCHHJBFOH2}

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	2026-05-18T03:39:51.477544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67d15f3a82b3cc63867b788e7484ae3eba5310777f8bcb74ada36b0c38228ea2

Aliases

arxiv: 1211.6465 · arxiv_version: 1211.6465v1 · doi: 10.48550/arxiv.1211.6465 · pith_short_12: M7IV6OUCWPGG · pith_short_16: M7IV6OUCWPGGHBT3 · pith_short_8: M7IV6OUC

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/M7IV6OUCWPGGHBT3PCHHJBFOH2 \
  | 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: 67d15f3a82b3cc63867b788e7484ae3eba5310777f8bcb74ada36b0c38228ea2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cb4243e24f239b43cb6c4c87b0b517f7e07036dad68a165d048dccc7f891cf8",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-11-27T22:12:37Z",
    "title_canon_sha256": "b23b966fca4b600ca47978a7db49495d97370f3439a8c335ea18d6d20d7175f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6465",
    "kind": "arxiv",
    "version": 1
  }
}