Pith Number

pith:5XVOCJZ2

pith:2012:5XVOCJZ2LVYEFH2M4BMB5RJCT6

not attested not anchored not stored refs pending

Cohomological interpretation of quadratic modular symbols

Alberto F. Boix, Iv\'an Blanco-Chac\'on, Pilar Bayer

arxiv:1204.5670 v2 · 2012-04-25 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5XVOCJZ2LVYEFH2M4BMB5RJCT6}

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	2026-05-18T03:39:16.524955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edeae1273a5d70429f4ce0581ec5229f9d7598e7c15fc7de9739dedd45d41851

Aliases

arxiv: 1204.5670 · arxiv_version: 1204.5670v2 · doi: 10.48550/arxiv.1204.5670 · pith_short_12: 5XVOCJZ2LVYE · pith_short_16: 5XVOCJZ2LVYEFH2M · pith_short_8: 5XVOCJZ2

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/5XVOCJZ2LVYEFH2M4BMB5RJCT6 \
  | 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: edeae1273a5d70429f4ce0581ec5229f9d7598e7c15fc7de9739dedd45d41851

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06b800b45223d6c03bb45cf172e63def05ac6a4c28fbd571763968c2a49bb25e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-04-25T14:41:47Z",
    "title_canon_sha256": "fef6c723275ac3cb6e8a2f7bf3b7ec2a7b00f131bc9c3f656952bf35f22c5c10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5670",
    "kind": "arxiv",
    "version": 2
  }
}