Pith Number

pith:J2L2ZA4B

pith:2010:J2L2ZA4BDV7E4UAVBLXIQHP4P5

not attested not anchored not stored refs pending

Harmonic coordinates in the string and membrane equations

Chun-Lei He, Shou-Jun Huang

arxiv:1004.2760 v1 · 2010-04-16 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J2L2ZA4BDV7E4UAVBLXIQHP4P5}

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	2026-05-18T02:08:04.950744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e97ac83811d7e4e50150aee881dfc7f72030136acb8ea28f813dff3228fca48

Aliases

arxiv: 1004.2760 · arxiv_version: 1004.2760v1 · doi: 10.48550/arxiv.1004.2760 · pith_short_12: J2L2ZA4BDV7E · pith_short_16: J2L2ZA4BDV7E4UAV · pith_short_8: J2L2ZA4B

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/J2L2ZA4BDV7E4UAVBLXIQHP4P5 \
  | 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: 4e97ac83811d7e4e50150aee881dfc7f72030136acb8ea28f813dff3228fca48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75b179b788c94e029469c42efbf7eb47b8a5db8d74efac273840e496e0dcf530",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-04-16T04:52:38Z",
    "title_canon_sha256": "77f7ec0e73e153aee28ae7f12ee7011bb03d16da030b5336b33ad3a5134e228c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.2760",
    "kind": "arxiv",
    "version": 1
  }
}