Pith Number

pith:NACNS5HI

pith:2011:NACNS5HI3OHKIKLMEOBDZ5FUXV

not attested not anchored not stored refs pending

Pull-back of currents by meromorphic maps

Tuyen Trung Truong

arxiv:1107.1743 v2 · 2011-07-08 · math.DS · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NACNS5HI3OHKIKLMEOBDZ5FUXV}

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	2026-05-18T04:09:46.822983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6804d974e8db8ea4296c23823cf4b4bd488b96abb7a53a38f7e8e1fcdac91ba5

Aliases

arxiv: 1107.1743 · arxiv_version: 1107.1743v2 · doi: 10.48550/arxiv.1107.1743 · pith_short_12: NACNS5HI3OHK · pith_short_16: NACNS5HI3OHKIKLM · pith_short_8: NACNS5HI

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/NACNS5HI3OHKIKLMEOBDZ5FUXV \
  | 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: 6804d974e8db8ea4296c23823cf4b4bd488b96abb7a53a38f7e8e1fcdac91ba5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a64cdccdaa5a6b6df5dadc726060a8e2c53bafcc9386b7b448517c796959bc44",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-07-08T22:13:40Z",
    "title_canon_sha256": "c9e2ef269c8e7900108a594fc6a8f403ef96f7345c716887cd55f6754360a7ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1743",
    "kind": "arxiv",
    "version": 2
  }
}