Pith Number

pith:QF5BKEAD

pith:2003:QF5BKEADDMFI5J4O5MFJ2S3SHD

not attested not anchored not stored refs pending

An E-infty-extension of the associahedra and the Tamarkin cell mystery

Martin Markl

arxiv:math/0304161 v4 · 2003-04-13 · math.AT · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QF5BKEADDMFI5J4O5MFJ2S3SHD}

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	2026-05-18T04:40:20.933148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

817a1510031b0a8ea78eeb0a9d4b7238d70560c3def0bc8814f5b2b3261df5c6

Aliases

arxiv: math/0304161 · arxiv_version: math/0304161v4 · doi: 10.48550/arxiv.math/0304161 · pith_short_12: QF5BKEADDMFI · pith_short_16: QF5BKEADDMFI5J4O · pith_short_8: QF5BKEAD

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/QF5BKEADDMFI5J4O5MFJ2S3SHD \
  | 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: 817a1510031b0a8ea78eeb0a9d4b7238d70560c3def0bc8814f5b2b3261df5c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82a84b780075f6a5da86533390334a6c573d82d238108c0a5a739a5cfb63fcb7",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2003-04-13T17:50:02Z",
    "title_canon_sha256": "edfdb8cb77047030df3e5764432c3269da6411c34bc5d3343796e44115f71a08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0304161",
    "kind": "arxiv",
    "version": 4
  }
}