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Pith Number

pith:27ID6AYW

pith:2012:27ID6AYWM4GWZGURHXGFUXN2MX
not attested not anchored not stored refs pending

Existence and Uniqueness of Solution to a Functional Integro-differential Fractional Equation

Delfim F. M. Torres, El Hassan El Kinani, Moulay Rchid Sidi Ammi

arxiv:1206.3996 v1 · 2012-06-18 · math.CA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{27ID6AYWM4GWZGURHXGFUXN2MX}

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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 2026-05-18T03:53:06.296563Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d7d03f0316670d6c9a913dcc5a5dba65f6feadc1a2f911aeced3204d764f3806

Aliases

arxiv: 1206.3996 · arxiv_version: 1206.3996v1 · doi: 10.48550/arxiv.1206.3996 · pith_short_12: 27ID6AYWM4GW · pith_short_16: 27ID6AYWM4GWZGUR · pith_short_8: 27ID6AYW
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/27ID6AYWM4GWZGURHXGFUXN2MX \
  | 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: d7d03f0316670d6c9a913dcc5a5dba65f6feadc1a2f911aeced3204d764f3806
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "7d1b23f04294646fc4eb75d84462deb5079ccbfe5194bd881f314de912082e52",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-06-18T17:19:21Z",
    "title_canon_sha256": "d54f0f25075dd5e1fa11a97d6d4ae5c482b01ab19726c75e1673388cb024fc3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3996",
    "kind": "arxiv",
    "version": 1
  }
}