Pith Number

pith:PZ6FZDPG

pith:2009:PZ6FZDPG5BSCV3EBAX2IIOM4XK

not attested not anchored not stored refs pending

Harmonic spinors and local deformations of the metric

Bernd Ammann, Emmanuel Humbert, Mattias Dahl

arxiv:0903.4544 v3 · 2009-03-26 · 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{PZ6FZDPG5BSCV3EBAX2IIOM4XK}

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	2026-05-18T01:19:45.051901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e7c5c8de6e8642aec8105f484399cba9c7d665f20e0c16afb372421c467ebb6

Aliases

arxiv: 0903.4544 · arxiv_version: 0903.4544v3 · doi: 10.48550/arxiv.0903.4544 · pith_short_12: PZ6FZDPG5BSC · pith_short_16: PZ6FZDPG5BSCV3EB · pith_short_8: PZ6FZDPG

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/PZ6FZDPG5BSCV3EBAX2IIOM4XK \
  | 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: 7e7c5c8de6e8642aec8105f484399cba9c7d665f20e0c16afb372421c467ebb6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "750876e04b585a458b25957f6da9fb5d29ee7230d9b179ae992004724bffbd3c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-03-26T10:28:00Z",
    "title_canon_sha256": "c9a35076310954ea1d9ba7b5aa159dd67a880ecc3c6de2cbb657683e4b9ad9fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.4544",
    "kind": "arxiv",
    "version": 3
  }
}