Pith Number

pith:PQZDOAWZ

pith:2016:PQZDOAWZ5JGL3IIPXVXSZQJBYW

not attested not anchored not stored refs pending

q-series and tails of colored Jones polynomials

Paul Beirne, Robert Osburn

arxiv:1601.05577 v2 · 2016-01-21 · math.NT · math.CO · 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{PQZDOAWZ5JGL3IIPXVXSZQJBYW}

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

Modular resurgent structures for vectors

Receipt and verification

First computed	2026-07-05T02:12:27.076288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c323702d9ea4cbda10fbd6f2cc121c5a27fd770a4a2d5baeae5cb7e1927d345

Aliases

arxiv: 1601.05577 · arxiv_version: 1601.05577v2 · doi: 10.48550/arxiv.1601.05577 · pith_short_12: PQZDOAWZ5JGL · pith_short_16: PQZDOAWZ5JGL3IIP · pith_short_8: PQZDOAWZ

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/PQZDOAWZ5JGL3IIPXVXSZQJBYW \
  | 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: 7c323702d9ea4cbda10fbd6f2cc121c5a27fd770a4a2d5baeae5cb7e1927d345

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c814f851b732184c7ae7bceb897e8210a5a3655c15f8b9196a2ab36731d80afe",
    "cross_cats_sorted": [
      "math.CO",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-01-21T10:20:30Z",
    "title_canon_sha256": "d1922e4797834c2376a1d021fe57d9f3305e40ab58d472b9220629ec575fdb7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05577",
    "kind": "arxiv",
    "version": 2
  }
}