Pith Number

pith:GR2HWCXJ

pith:2014:GR2HWCXJHINBEN2XT7MXVQAPT4

not attested not anchored not stored refs pending

CR rigidity of pseudo harmonic maps and pseudo biharmonic maps

Hajime Urakawa

arxiv:1410.0086 v1 · 2014-10-01 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GR2HWCXJHINBEN2XT7MXVQAPT4}

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	2026-05-18T02:41:18.065913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34747b0ae93a1a1237579fd97ac00f9f051d487a7fda8817d404d58ed02217b3

Aliases

arxiv: 1410.0086 · arxiv_version: 1410.0086v1 · doi: 10.48550/arxiv.1410.0086 · pith_short_12: GR2HWCXJHINB · pith_short_16: GR2HWCXJHINBEN2X · pith_short_8: GR2HWCXJ

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/GR2HWCXJHINBEN2XT7MXVQAPT4 \
  | 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: 34747b0ae93a1a1237579fd97ac00f9f051d487a7fda8817d404d58ed02217b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07fddbeecd5c690e0879014d30e021f9a106103709b02c8ca73ac8527857ecd3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-10-01T01:42:38Z",
    "title_canon_sha256": "ca66c14877340263248c62e41e9ecdb9a30f57dd44cf5df8c314e69d6bd95779"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.0086",
    "kind": "arxiv",
    "version": 1
  }
}