Pith Number

pith:I2QJCEVA

pith:2016:I2QJCEVA4WFMGWMPED7Y2PEORG

not attested not anchored not stored refs pending

f-Biharmonic and bi-f-harmonic submanifolds of generalized space forms

Abhitosh Upadhyay, Julien Roth

arxiv:1609.08599 v1 · 2016-09-27 · 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{I2QJCEVA4WFMGWMPED7Y2PEORG}

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	2026-05-18T01:03:45.561993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46a09112a0e58ac3598f20ff8d3c8e8982908c8e92f123999fb2f071b31ca7e4

Aliases

arxiv: 1609.08599 · arxiv_version: 1609.08599v1 · doi: 10.48550/arxiv.1609.08599 · pith_short_12: I2QJCEVA4WFM · pith_short_16: I2QJCEVA4WFMGWMP · pith_short_8: I2QJCEVA

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/I2QJCEVA4WFMGWMPED7Y2PEORG \
  | 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: 46a09112a0e58ac3598f20ff8d3c8e8982908c8e92f123999fb2f071b31ca7e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87dfece2eca3f62ac9a341383a770a1623bd27c5e1504d72e29b9de9ca1261c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-09-27T19:49:29Z",
    "title_canon_sha256": "49a0edf550315c4581345e51c972fbac034297ae5c8634c5dfe5f84c4083bad2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08599",
    "kind": "arxiv",
    "version": 1
  }
}