Pith Number

pith:PTQKDMNW

pith:2006:PTQKDMNWZBO2EMS5WDT2AN5ZKG

not attested not anchored not stored refs pending

A survey of (\infty, 1)-categories

Julia E. Bergner

arxiv:math/0610239 v1 · 2006-10-09 · math.AT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PTQKDMNWZBO2EMS5WDT2AN5ZKG}

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.

Cited by

1 paper in Pith

Entanglement of Sections: The pushout of entangled and parameterized quantum information

Receipt and verification

First computed	2026-07-04T14:57:07.166403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ce0a1b1b6c85da2325db0e7a037b951ad837be7d2a5bb930edaaaed78dd1e41

Aliases

arxiv: math/0610239 · arxiv_version: math/0610239v1 · doi: 10.48550/arxiv.math/0610239 · pith_short_12: PTQKDMNWZBO2 · pith_short_16: PTQKDMNWZBO2EMS5 · pith_short_8: PTQKDMNW

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/PTQKDMNWZBO2EMS5WDT2AN5ZKG \
  | 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: 7ce0a1b1b6c85da2325db0e7a037b951ad837be7d2a5bb930edaaaed78dd1e41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cd423adb9b018dffa884c021a0f97edf97e534bf9a12a8f01b5b8e8d18f3d69",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2006-10-09T15:13:50Z",
    "title_canon_sha256": "086f42b3742484560709a6111425bfa3181577392d826cd0422c2dec17031fe7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0610239",
    "kind": "arxiv",
    "version": 1
  }
}