Pith Number

pith:7GRB7EHE

pith:2005:7GRB7EHEZ2ZQCLYSM364YTS6ZQ

not attested not anchored not stored refs pending

Schrodinger Flow Near Harmonic Maps

K. Kang, S. Gustafson, T.-P. Tsai

arxiv:math/0504497 v1 · 2005-04-25 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7GRB7EHEZ2ZQCLYSM364YTS6ZQ}

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	2026-07-04T14:39:55.608404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9a21f90e4ceb3012f1266fdcc4e5ecc3f34e192d3b84ccfa404a5b58de4cccd

Aliases

arxiv: math/0504497 · arxiv_version: math/0504497v1 · doi: 10.48550/arxiv.math/0504497 · pith_short_12: 7GRB7EHEZ2ZQ · pith_short_16: 7GRB7EHEZ2ZQCLYS · pith_short_8: 7GRB7EHE

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/7GRB7EHEZ2ZQCLYSM364YTS6ZQ \
  | 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: f9a21f90e4ceb3012f1266fdcc4e5ecc3f34e192d3b84ccfa404a5b58de4cccd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab12d2537eb1ced2e5204f4bc48ff6734f485e76aa8acc753dfa1130db6e5e44",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2005-04-25T04:55:29Z",
    "title_canon_sha256": "81cdb2e4fcc54772ddb71708903c8ef1761f5fd822382c552631cd31bb3c5974"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0504497",
    "kind": "arxiv",
    "version": 1
  }
}