Pith Number

pith:NCOOUQMK

pith:2020:NCOOUQMK4LKHI3OTXVDCHISPO2

not attested not anchored not stored refs pending

Duality and Mock Modularity

Atish Dabholkar, Edward Witten, Pavel Putrov

arxiv:2004.14387 v3 · 2020-04-29 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NCOOUQMK4LKHI3OTXVDCHISPO2}

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

Black Hole Quantum Mechanics and Generalized Error Functions

Receipt and verification

First computed	2026-07-05T01:52:18.277942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

689cea418ae2d4746dd3bd4623a24f768aa9598d59d6911f38ddffe64807e5f2

Aliases

arxiv: 2004.14387 · arxiv_version: 2004.14387v3 · doi: 10.48550/arxiv.2004.14387 · pith_short_12: NCOOUQMK4LKH · pith_short_16: NCOOUQMK4LKHI3OT · pith_short_8: NCOOUQMK

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/NCOOUQMK4LKHI3OTXVDCHISPO2 \
  | 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: 689cea418ae2d4746dd3bd4623a24f768aa9598d59d6911f38ddffe64807e5f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c0373eea23fd1affc9e4f5d6de91f64e032967df7c578296a6556edf164b705",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2020-04-29T18:00:00Z",
    "title_canon_sha256": "0195d7137e2658824ce81455eba20e2a1c3e3a64b41817604714e14c6cbe04e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.14387",
    "kind": "arxiv",
    "version": 3
  }
}